Solve 3426\div10 | Equatix

Question

$$3426 \div 10$$

Evaluate

$\frac{1713}{5}=342.6$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3426$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)3426}\\\end{array}$$

Since $3$ is less than $10$, use the next digit $4$ from dividend $3426$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)3426}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $3426$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)3426}\\\end{array}$$

Find closest multiple of $10$ to $34$. We see that $3 \times 10 = 30$ is the nearest. Now subtract $30$ from $34$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{10)}03\phantom{4}\\10\overline{)3426}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}4\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $3426$

$$\begin{array}{l}\phantom{10)}03\phantom{5}\\10\overline{)3426}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}42\\\end{array}$$

Find closest multiple of $10$ to $42$. We see that $4 \times 10 = 40$ is the nearest. Now subtract $40$ from $42$ to get reminder $2$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{10)}034\phantom{6}\\10\overline{)3426}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}42\\\phantom{10)}\underline{\phantom{9}40\phantom{9}}\\\phantom{10)99}2\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $3426$

$$\begin{array}{l}\phantom{10)}034\phantom{7}\\10\overline{)3426}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}42\\\phantom{10)}\underline{\phantom{9}40\phantom{9}}\\\phantom{10)99}26\\\end{array}$$

Find closest multiple of $10$ to $26$. We see that $2 \times 10 = 20$ is the nearest. Now subtract $20$ from $26$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{10)}0342\phantom{8}\\10\overline{)3426}\\\phantom{10)}\underline{\phantom{}30\phantom{99}}\\\phantom{10)9}42\\\phantom{10)}\underline{\phantom{9}40\phantom{9}}\\\phantom{10)99}26\\\phantom{10)}\underline{\phantom{99}20\phantom{}}\\\phantom{10)999}6\\\end{array}$$

Since $6$ is less than $10$, stop the division. The reminder is $6$. The topmost line $0342$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $342$.

$$\text{Quotient: }342$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{3 \cdot 571}{5} = 342\frac{3}{5} = 342.6$

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Steps For Long Division Method

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